Respuesta :
Answer:
Number of students can a van carry are 16 and number of students can a bus carry are 28 .
Step-by-step explanation:
The number of students a van carry be x .
The number of students a bus carry be y .
As given
The local amusement park is a popular field trip destination.
This year the senior class at High School A and the senior class at High School B both planned trips there.
The senior class at High School A rented and filled 6 vans and 10 buses with 376 students.
Equations becomes
6x + 10y = 376
As given
High School B rented and filled 3 vans and 2 buses with 104 students.
Equations becomes
3x + 2y = 104
Multiply 3x + 2y = 104 by 2 and subtracted from 6x + 10y = 376 .
6x - 6x + 10y - 4y = 376 - 208
6y = 168
[tex]y = \frac{168}{6}[/tex]
y = 28
Putting the value of y in the equation 3x + 2y = 104 .
3x + 28 × 2 = 104
3x + 56 = 104
3x = 104 - 56
3x = 48
[tex]x = \frac{48}{3}[/tex]
x = 16
Therefore the number of students can a van carry are 16 and number of students can a bus carry are 28 .
